Limit cycles in a class of switching system with a degenerate singular point

Feng Li and Yuanyuan Liu

Chaos, Solitons & Fractals, 2016, vol. 92, issue C, 86-90

Abstract: Although switching systems have been investigated intensively, there are few results about limit cycles bifurcated from switching systems with degenerate singular point. In this paper, a method to compute focal values for degenerate critical point of switching systems was proposed. Furthermore, we studied a quartic system in order to illustrate the efficiency of our method.

Keywords: Switching systems; Degenerate critical point; Lyapunov constant; Limit cycle; Center (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:92:y:2016:i:c:p:86-90

DOI: 10.1016/j.chaos.2016.09.012

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